Details

sample202.0ms

Algorithm

intervals

Results

51.0ms	94×	body	160	valid
19.0ms	111×	body	320	valid
15.0ms	285×	body	80	nan
13.0ms	541×	pre	80	true
4.0ms	17×	body	640	valid
2.0ms	34×	body	80	valid

simplify94.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	16
3	86	16
4	119	16
5	128	16
done	128	16

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.1b	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
26.9b	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
135×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
82×	`add-cube-cbrt`
28×	`sqrt-prod`
26×	`difference-of-squares`
22×	`associate-/l*`
19×	`prod-diff`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`fma-neg`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `flip3--` `div-exp` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 183

Calls

4 calls:

17.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms	(- (* b b) (* (* 4.0 a) c))
82.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
49.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series581.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
89.0ms	(- (* b b) (* (* 4.0 a) c))
196.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
170.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.8s

Counts

195 → 195

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	321	4967
1	817	4606
2	3899	4288
done	5000	4286

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.7b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune80.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`associate-/r*` `div-inv`
5×	`prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 77

Calls

2 calls:

8.0ms	(/ (* a c) b)
23.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series50.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (* a c) b)
29.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.0s

Counts

83 → 83

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	171	1200
1	465	1156
2	2940	1028
done	5002	1022

prune569.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
0.3b	(* (* a c) (/ 1 b))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
47×	`add-cbrt-cube`
42×	`times-frac`
33×	`prod-exp`
29×	`div-exp`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`cbrt-undiv` `cbrt-unprod`
13×	`associate-r`
7×	`pow1` `associate-/l*`
6×	`div-inv`
4×	`rec-exp` `1-exp`
3×	`associate-/r*` `pow-prod-down`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-l` `associate-r/` `un-div-inv` `-commutative` `associate-/l/`

Counts

2 → 102

Calls

2 calls:

77.0ms	(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
34.0ms	(* (* a c) (/ 1 b))

series47.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
22.0ms	(* (* a c) (/ 1 b))

simplify3.4s

Counts

108 → 108

Iterations

Useful iterations: 2 (694.0ms)

Iter	Nodes	Cost
0	230	1768
1	683	1634
2	4840	1237
done	5000	1237

prune363.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 2.7b

regimes734.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.5s	3696×	body	320	valid
770.0ms	8178×	body	80	nan
682.0ms	16178×	pre	80	true
458.0ms	2870×	body	160	valid
256.0ms	525×	body	640	valid
102.0ms	909×	body	80	valid